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sasho [114]
3 years ago
7

Use the information given to enter an equation in standard form.

Mathematics
1 answer:
grin007 [14]3 years ago
6 0

Answer:

6x - 5y = -5

Step-by-step explanation:

Your FIRST goal is to fill out y = mx + b with the values of m (your slope) and b (your y-intercept). First, find m by dividing the change in y in the two points given by their change in x. (43 - 31)/(35-25) = 12/10 = 6/5. Plug this in immediately for a "placeholder equation" of y = 6/5x + b, which you can plug either of your points into and solve for b.

43 = 6/5(35) + b

43 = 42 + b

1 = b

Your SLOPE-INTERCEPT equation is y = 6/5x + 1. However, you were asked for standard form. This means you must convert into ax + by = c, where a b and c are all whole numbers, and a is positive.

y = 6/5x + 1

-6/5x + y = 1

6/5x - y = -1

6x - 5y = -5, and this is your final answer.

Let me know if you need a more in-depth explanation on any part of this!

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Find the measure of a negative angle coterminal with 60
lys-0071 [83]

Answer:

Coterminal angle of 60° (π / 3): 420°, 780°, -300°, -660°

Step-by-step explanation:

5 0
2 years ago
. Write the slope intercept form of the line through the given point
melamori03 [73]
Y=3 is the correct answer
6 0
2 years ago
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I cannot find the answer on my own, I need a lil' bit of help.
viktelen [127]

for any fraction a/b, the decimal format of it is just a ÷ b.

A)

is the number rational?

well, a rational number is one we can write as a ration or fraction, well clearly is a fraction so it is rational.


B)

can it be written as a repeating/recurring decimal?  well, 9/20 is 0.45, so -9/20 is -0.45, no repeating decimal like 0.454545......... , just a plain vanilla -0.45, so nope.


C)

is it less than -0.4?

well, let's recall that for the negative side on the number line, the closer to 0, the larger the number, so then -1,000,000 is much smaller than -1, because -1 is closer to 0.

who is closer -0.4 or -0.45?

|---------------------  -0.45  --------  -0.40  -------------------  0  ---------------  1  -------------------|

so, -0.45 is farther from 0, and therefore is smaller than -0.4, so yes.

4 0
3 years ago
What is the point slope equation of a line with slope -4 that contains the point (-2,7)?
ad-work [718]
Point slope form: (y-y1)=m(x-x1)

Answer:
(y-7)=-4(x+2)
3 0
2 years ago
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For the level 3 course, exam hours cost twice as much as workshop hours, workshop hours cost twice as much as lecture hours. How
natulia [17]
<h2>Answer</h2>

Cost of lectures = $7.33 per hour

<h2>Explanation</h2>

Let e the cost of the exam hours

Let w be the cost of the workshop hours

Let l be the cost of the lecture hours.

We know from our problem that exam hours cost twice as much as workshop, so:

e=2w equation (1)

We also know that workshop hours cost twice as much as lecture hours, so:

w=2l equation (2)

Finally, we also know that 3hr exams 24hr workshops  and 12hr lectures cost $528, so:

3e+24w+12l=528 equation (1)

Now, lets find the value of l:

Step 1.  Solve for l in equation (3)

3e+24w+12l=528

12l=528-3e-24w equation (4)

Step 2. Replace equation (1) in equation (4) and simplify

12l=528-3e-24w

12l=528-3(2w)-24w

12l=528-6w-24w

12l=528-30w equation (5)

Step 3. Replace equation (2) in equation (5) and solve for l

12l=528-30w

12l=528-30(2l)

12l=528-60l

72l=528

l=\frac{528}{72}

l=\frac{22}{3}

l=7.33

Cost of lectures  = $7.33 per hour



3 0
3 years ago
Read 2 more answers
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